Volume and Surface Area Questions Practice Question and Answer
8 Q: Three solid metallic sphere whose radii are 3cm, x cm and 18cm respectively, are melted and recast into a single solid sphere of diameter 38cm. Then find the total surface area of the sphere with radius x cm?
1151 06066d1b5ffdc341493f35c4d
6066d1b5ffdc341493f35c4d- 1300 πfalse
- 2400 πtrue
- 3100 πfalse
- 4200 πfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "400 π "
Q: A right circular cone of largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?
1147 06051c634a01bc44789a9b503
6051c634a01bc44789a9b503- 150 %true
- 2$$ {33{1\over3}}{ \%}$$false
- 375 %false
- 4$$ {66{2\over3}}{ \%}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "50 %"
Q: The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?
1147 0609cd380e941dd6183d59933
609cd380e941dd6183d59933- 14 : 7false
- 23 : 8true
- 34 : 5false
- 45 : 9false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "3 : 8"
Q: What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.
1143 05ef052c87cd71c794469687d
5ef052c87cd71c794469687d- 1$$25\sqrt{3}$$true
- 2$$45\sqrt{3}$$false
- 345false
- 440false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "$$25\sqrt{3}$$"
Q: What is the area ( in cm2 ) of the circumcircle of a triangle whose sides are 6 cm , 8 cm and 10 cm respectively ?
1133 060093c3d70bfa73e5e1df2de
60093c3d70bfa73e5e1df2de- 1$$ {275\over 7}$$false
- 2$$ {2200\over 7}$$false
- 3$$ {550\over 7}$$true
- 4$$ {1100\over 7}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "$$ {550\over 7}$$"
Q: The perimeter of a circle is equal to the square perimeter. What will be the ratio of their areas?
1130 05f76ba624637db732848783f
5f76ba624637db732848783f- 14 : 1false
- 211 : 7false
- 314:11true
- 411:14false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "14:11"
Q: In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?
1115 06019075765f04759038196e1
6019075765f04759038196e1- 1616false
- 2154true
- 3308false
- 477false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "154 "
Q: The radius of a cone is 20 cm and height is 21 cm, the total surface area of the cone is in square cm:
1102 05f1e650526299776aa406ba6
5f1e650526299776aa406ba6- 13080true
- 23160false
- 32920false
- 43240false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "3080"
Explanation :
$$ {πr^2+πrl}$$

